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Finding the Fourth Proportional to 70,953.22, 106,430.25 and 21,033.78

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Solution

The fourth proportional to 70,953.22, 106,430.25 and 21,033.78 is: 31,550.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,953.22 : 106,430.25 = 21,033.78 : x
  2. Step 2: Convert to fraction form
    70,953.22/106,430.25 = 21,033.78/x
  3. Step 3: Cross multiply
    70,953.22x = 106,430.25 × 21,033.78
  4. Step 4: Simplify right side
    70,953.22x = 2,238,630,143.61
  5. Step 5: Solve for x
    x = 2,238,630,143.61/70,953.22
  6. Step 6: Final answer
    x = 31,550.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.